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Finding the Fourth Proportional to 11,461, 15,816.42 and 6,493

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Solution

The fourth proportional to 11,461, 15,816.42 and 6,493 is: 8,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461 : 15,816.42 = 6,493 : x
  2. Step 2: Convert to fraction form
    11,461/15,816.42 = 6,493/x
  3. Step 3: Cross multiply
    11,461x = 15,816.42 × 6,493
  4. Step 4: Simplify right side
    11,461x = 102,696,015.06
  5. Step 5: Solve for x
    x = 102,696,015.06/11,461
  6. Step 6: Final answer
    x = 8,960.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.